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Question

# Perform the indicated matrix operations. If the matrix does not exist, write impossible.$-2\left[\begin{array}{rrrr}2 & 11 & -5 & 4 \\ -1 & 0 & 6 & 3 \\ 9 & -2 & 1 & 0\end{array}\right]$

Solution

Verified
Step 1
1 of 2

Multiply every term in the matrix by $-2$:

\begin{aligned} -2\cdot\begin{bmatrix} 2 & 11 &-5 & 4 \\ -1 & 0 &6 &3\\ 9 & -2 &1 &0\\ \end{bmatrix}&= \begin{bmatrix} -2\cdot 2 & -2\cdot11 &-2\cdot(-5) & -2\cdot4 \\ -2\cdot( -1) & -2\cdot0 &-2\cdot6 &-2\cdot3\\ -2\cdot9 &-2\cdot( -2) &-2\cdot1 &-2\cdot0\\ \end{bmatrix}\\ &= \begin{bmatrix} -4 & -22 &10 & -8 \\ 2 & 0 &-12 &-6\\ -18 &4 &-2 & 0\\ \end{bmatrix} \end{aligned}

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